Answer:
r = -6 cos(θ)
Step-by-step explanation:
got it right on edge
The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).
What is the polar form?The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.
To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:
(x + 3)² + y² = (x² + 6x + 9) + y² = 9
Then we can express x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
Substituting these values into the equation and simplifying:
r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9
r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0
r² + 6r cos(θ) = 0
r(r + 6cos(θ)) = 0
Since r ≠ 0
So, the polar form of the equation is:
r = -6cos(θ)
Thus, the correct answer would be an option (A).
To learn more about the Polar Coordinates click here:
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1 - 3x = 3x + 1 solve for x
Answer: x = 0
Step-by-step explanation:
1 - 3x = 3x + 1
then add 3x on both sides
1 = 6x + 1
then subtract 1 on both sides
0 = 6x
then divide by 6 on both sides
0 = x
so x = 0
Answer:
x would be unknown bc there wouldnt be an answer since
1-3x=3x+1
if we take away 1 forom both sides were left with -3x=3x and it would be 6x if we combined them which can be possible bc it would be nothing = 6x if that makes sense
Step-by-step explanation:
Write a function rule.
y is 9 less than the product of 8 and x.
Answer:
dumyemimynumifgmfdhum
There were 24 boys and 20 girls in a chess club last year. This year
the number of boys increased by 25% but the number of girls
decreased by 10%.
Find the overall percent change in membership of the club.
10
Answer:
35%
Step-by-step explanation:
If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.
1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?
Answer:
53 shares
Step-by-step explanation:
Calculation for how many SHARES did he then own
Using this formula
Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]
Let plug in the formula
Numbers of shares= [(.06 x 50 shares)+50 shares]
Numbers of shares= 3 + 50 shares
Numbers of shares = 53 shares
Therefore How many shares did he then own is 53 shares
If 12 50.7 Fl. Oz. bottles cost $84 how much does one bottle cost?
Answer:
$7
Step-by-step explanation:
84/12=7 each bottle is $7
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
Learn more: brainly.com/question/17429689
BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?
Answer:
i would go for a but im not really sure. sorry if incorrect
Step-by-step explanation:
5 + 0.08 + 0.004 in word form plz
Answer:
Five plus eight hundredths plus four thousandths
Answer:
five plus zero point zero eight plus zero point zero zero four equals five point zero eighty four
Step-by-step explanation:
Plz someone help I beggggg
Answer:
25100 i believe would be the answer
Step-by-step explanation:
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
help i need the answer
Answer:
the first one
[tex].5x+10\geq .25x+15[/tex]
Step-by-step explanation:
They want to know how much I will take for the amount they have read to be the same. So that automatically crosses out the last one. They asking you to subtract anything so that crosses the third one out. The second option has the number of pages the both read first switched so that crosses that one out.
I hope this explanation was helpful.
Convert the Following: 5.4 oz=__________ mg
Answer:
153087 mg
Step-by-step explanation:
A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?
Answer:
13 1/3 cups
Step-by-step explanation:
The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1
1 1/3 x 10 = 13 1/3
Answer:
13 1/3
Step-by-step explanation:
12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup
A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.
Answer:
30 angels
Step-by-step explanation:
Solve for x: 10(x + 1) = 2x - 7
Answer:Simplifying
x = -2.125
Step-by-step explanation:Add '-10' to each side of the equation.
10 + -10 + 8x = -7 + -10
Combine like terms: 10 + -10 = 0
0 + 8x = -7 + -10
8x = -7 + -10
Combine like terms: -7 + -10 = -17
8x = -17
Divide each side by '8'.
x = -2.125
Simplifying
x = -2.125
^^^ this too please
Unit 5
Bob is building a new restaurant called Bob's Burgers. He wants the building to be shaped like a
burger, and he needs to figure out how many square feet of tile he will need for the circular floor
inside of the restaurant. The blueprints for the building are graphed with the front door located at
(-10, 2) and the center of the restaurant located at (2, -3) where each unit on the grid is 1 foot. How
many square feet of tile will Bob need for the floor of Bob's Burgers? Show your work and explain
each step you take to solve using proper math vocabulary.
Answer:
Look at images below for a answer of:
Revenue: $71,014
Profits: $44,029
Image Below;
(Take a look at the image and zoom in on all of the images in that one image)
Answer made by Ehie, Discord: BenjiDev#3349
just fill in the blanks pls tyy
Select the correct answer.
Consider these functions:
f(x) = 2x^3+3
g(x) =x- 4
What is the value of g(f(x))?
Answer:
A. 2x³ - 1
General Formulas and Concepts:
Algebra I
Composite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 2x³ + 3
g(x) = x - 4
Step 2: Find g(f(x))
Substitute: g(f(x)) = (2x³ + 3) - 4Simplify: g(f(x)) = 2x³ - 1Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inches) of the oil in the tank, h,
and the time in minutes) that the oil was draining, t. could be modeled by the equation h = 8 -0.25t.
According to the model, how long will the oil need to drain for the height to decrease by 1 inch?
0.25 minutes
1 minute
4 minutes
8 minutes
Answer:
8
Step-by-step explanation:
11. A loading crew estimates that it can load 8 boxes in 20 minutes. At this rate,
how many boxes could it load in 1 hour?
Answer:
24
Step-by-step explanation:
If 20 × 3 = 60 which is an hour then you do 8 × 3 = 24.
So 24 boxes
There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there be when they are done?
Answer:
4731
Step-by-step explanation:
4,389+342=4,731
6th grade math i mark as brainliest
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer:
table b i think
Step-by-step explanation:
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
Which fraction is not equivalent to 9/12
PLEASE HURRY
Answer:
1/2
1/2 = 50%
9/12 = 75%
Step-by-step explanation:
Consider the following system of equations
-2x+5y=19
Y=-5/6x-1/6
Use this graph of the system to approximate its solution
A. (13/4,-5/2)
B. (-5/2,13/4)
C. (-13/4,5/2)
D.) (5/2,-13/4)
Answer:
C
Step-by-step explanation:
We have the system of equations:
[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]
And we want to use the graph to approximate the solution to the system.
Remember that, graphically, the solution to a system of equations is where the two graphs intersect.
We can see that the point at which the two lines intersect is in QII.
Hence, x is negative and y is positive.
The only choices that satisfies these conditions are B or C.
However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.
Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.
So, our final answer is C.
PLEASE HELP!!!!!!!!!!!!!!
Answer:
882-28282=9191
Step-by-step explanation:
You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you have enough money
in the account to purchase the car? Round your answer to the nearest whole number
Answer:
After 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
Amount needed to be saved = $10000
Principal = $6500
So, Simple Interest = $3500
Rate of Interest = 7.5%
= 0.075
Now, Simple Interest = Principal × Rate × Time
⇒ 3500 = 6500 × 0.075 × Time
⇒ 3500 = 487.5 × Time
⇒ Time = 7.18 years ≈ 7.5 years
Hence, after 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
can someone explain
Answer:
K = -2
Step-by-step explanation:
K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y = mx + b, b is the y -intercept.
~theLocoCoco